Localized Structures in Nonlinear Lattices with Diffusive Coupling and External Driving
patt-sol
2007-05-23 v1 Pattern Formation and Solitons
Abstract
We study the stabilization of localized structures by discreteness in one-dimensional lattices of diffusively coupled nonlinear sites. We find that in an external driving field these structures may lose their stability by either relaxing to a homogeneous state or nucleating a pair of oppositely moving fronts. The corresponding bifurcation diagram demonstrates a cusp singularity. The obtained analytic results are in good quantitative agreement with numerical simulations.
Cite
@article{arxiv.patt-sol/9812008,
title = {Localized Structures in Nonlinear Lattices with Diffusive Coupling and External Driving},
author = {Igor Mitkov and Konstantin Kladko and A. R. Bishop},
journal= {arXiv preprint arXiv:patt-sol/9812008},
year = {2007}
}
Comments
4 pages, 5 figures, revtex